Finding the Third Proportional to 461,838 and 690,907.50

Step by Step Solution

1. Step 1: Write the proportion equation
   461,838 : 690,907.50 = 690,907.50 : x
2. Step 2: Convert to fraction form
   461,838/690,907.50 = 690,907.50/x
3. Step 3: Cross multiply
   461,838x = 690,907.50 × 690,907.50
4. Step 4: Simplify right side
   461,838x = 477,353,173,556.25
5. Step 5: Solve for x
   x = 477,353,173,556.25/461,838
6. Step 6: Final answer
   x = 1,033,594.41